Applicable Analysis and Discrete Mathematics Vol. 11, No 1 (April, 2017)

Online version (ISSN 2406-100X) posted on April 28, 2017.

Printed version (ISSN 1452-8630) appeared on April 28, 2017.

• Title:

  The strong metric dimension of some generalized Petersen graphs

  Authors:

  Jozef Kratica, Vera Kovačević-Vujčić, Mirjana Čangalović

  Classification:

  2000 Mathematical Subject Classification: 05C12, 05C40

  Keywords:

  Keywords and phrases: generalized Petersen graphs, strong metric dimension

  Doi:

  DOI: 10.2298/AADM161110032K

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• Title:

  The number of disjoint perfect matchings in semi-regular graphs

  Authors:

  Hongliang Lu and David G.L. Wang

  Classification:

  2000 Mathematical Subject Classification: 05C70

  Keywords:

  Keywords and phrases: Semiregular graph, Hamiltonian graph, regular graph, perfect matching, factorization

  Doi:

  DOI: 10.2298/AADM161109030L

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• Title:

  Abstract degenerate fractional differential inclusions in Banach spaces

  Authors:

  Marko Kostić

  Classification:

  2000 Mathematical Subject Classification: 47D03, 47G20, 47D99

  Keywords:

  Keywords and phrases: Semi-linear degenerate Cauchy problem, multivalued linear operator, degenerate resolvent family, abstract degenerate fractional inclusion, fractional differential equation

  Doi:

  DOI: 10.2298/AADM1701039K

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• Title:

  THE EFFECTS OF SYMMETRY-BREAKING FUNCTIONS ON THE ERMAKOV-PINNEY EQUATION

  Authors:

  R.M. Morris and P.G.L. Leach

  Classification:

  2000 Mathematical Subject Classification: 22E60, 70B05, 34A05

  Keywords:

  Keywords and phrases: Ermakov-Pinney Equation, Lie point symmetries

  Doi:

  DOI: 10.2298/AADM161106029M

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• Title:

  More on graphs with just three distinct eigenvalues

  Authors:

  Peter Rowlinson

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Quasi-symmetric design, minimum degree, Strongly regular graph, Symmetric design, main eigenvalue

  Doi:

  DOI: 10.2298/AADM161111033R

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• Title:

  Merging the A- and Q-spectral theories

  Authors:

  Vladimir Nikiforov

  Classification:

  2000 Mathematical Subject Classification: 05C50, 15A42

  Keywords:

  Keywords and phrases: spectral Turan theorem, spectral extremal problems, signless Laplacian, adjacency matrix, Spectral radius

  Doi:

  DOI: 10.2298/AADM1701081N

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• Title:

  DISTANCE SPECTRUM AND ENERGY OF GRAPHS WITH SMALL DIAMETER

  Authors:

  Milica Anđelić, Tamara Koledin, Zoran Stanić

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: distance energy, distance spectrum, Graph spectrum, regular graph, Bipartite graph

  Doi:

  DOI: 10.2298/AADM1701108A

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• Title:

  A note on the Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph

  Authors:

  Nair Abreu, André E. Brondani, Leonardo de Lima, Carla Oliveira

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Nordhaus-Gaddum problem, adjacency matrix, upper bound, second largest eigenvalue

  Doi:

  DOI: 10.2298/AADM1701123A

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• Title:

  RESISTANCE DISTANCES ON NETWORKS

  Authors:

  A. Carmona, A.M. Encinas, M. Mitjana

  Classification:

  2000 Mathematical Subject Classification: 05C12

  Keywords:

  Keywords and phrases: Symmetric M-matrices, Resistance distances, Effective resistances, Schrödinger operators

  Doi:

  DOI: 10.2298/AADM1701136C

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• Title:

  Some graph mappings that preserve the sign of lambda2 −r

  Authors:

  Bojana Mihailović and Marija Rašajski

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: graph transformations, spectral graph theory, reflexive graph, second largest eigenvalue

  Doi:

  DOI: 10.2298/AADM1701148M

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• Title:

  The maximum of cotangent sums related to Estermann's zeta function in rational numbers in short intervals

  Authors:

  Helmut Maier and Michael Th. Rassias

  Classification:

  2000 Mathematical Subject Classification: 26A12, 11M06, 11L03

  Keywords:

  Keywords and phrases: Kloosterman sum, Estermann's zeta function, Cotangent sums, Riemann zeta function, Riemann Hypothesis

  Doi:

  DOI: 10.2298/AADM1701166M

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• Title:

  Construction of Gaussian Quadrature Formulas for Even Weight Functions

  Authors:

  Mohammad Masjed-Jamei and Gradimir V. Milovanović

  Classification:

  2000 Mathematical Subject Classification: 41A55, 65D30, 65D32

  Keywords:

  Keywords and phrases: Pollaczek type weight functions, Jacobi matrix, Symmetric weight functions, Symmetric Gaussian quadrature rules, Orthogonal polynomials

  Doi:

  DOI: 10.2298/AADM1701177M

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• Title:

  Fixed point and coincidence point theorems in b-metric spaces with applications

  Authors:

  Adrian Petrusel, Gabriela Petrusel, Jen-Chih Yao

  Classification:

  2000 Mathematical Subject Classification: 47H10, 54H25, 26A18

  Keywords:

  Keywords and phrases: well=posedness, Ulam-Hyers stability, b-metric space, coincidence point, Fixed point

  Doi:

  DOI: 10.2298/AADM1701199P

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• Title:

  Shedding light on words

  Authors:

  Margaret Archibald, Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher, Toufik Mansour

  Classification:

  2000 Mathematical Subject Classification: 05A15

  Keywords:

  Keywords and phrases: Words, generating function

  Doi:

  DOI: 10.2298/AADM1701216A

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• Title:

  ON COMPARISON OF ANNULI CONTAINING ALL THE ZEROS OF A POLYNOMIAL

  Authors:

  Aseem Dalal and Narendra K. Govil

  Classification:

  2000 Mathematical Subject Classification: 30C15, 65F15, 30E10

  Keywords:

  Keywords and phrases: Inequalities, approximation theory, numerical analysis, location of the zeros of a polynomial, Eigenvalues

  Doi:

  DOI: 10.2298/AADM1701232D

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